{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:OWSTC73DYAWIE37EGOE26ZGTNH","short_pith_number":"pith:OWSTC73D","canonical_record":{"source":{"id":"1501.07886","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-01-30T19:12:48Z","cross_cats_sorted":[],"title_canon_sha256":"0f0f4b92325aa13d2a5bbf756b1997502b5c1e21060cc14ee1a4bfb32624f24a","abstract_canon_sha256":"837c0395b7552a1ad7647f782a9f9b0271b64e657aae236c4baa3df192dfbe1c"},"schema_version":"1.0"},"canonical_sha256":"75a5317f63c02c826fe43389af64d369d62b654cbe29757b0012ebee27a07450","source":{"kind":"arxiv","id":"1501.07886","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.07886","created_at":"2026-05-18T01:34:50Z"},{"alias_kind":"arxiv_version","alias_value":"1501.07886v2","created_at":"2026-05-18T01:34:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.07886","created_at":"2026-05-18T01:34:50Z"},{"alias_kind":"pith_short_12","alias_value":"OWSTC73DYAWI","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OWSTC73DYAWIE37E","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OWSTC73D","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:OWSTC73DYAWIE37EGOE26ZGTNH","target":"record","payload":{"canonical_record":{"source":{"id":"1501.07886","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-01-30T19:12:48Z","cross_cats_sorted":[],"title_canon_sha256":"0f0f4b92325aa13d2a5bbf756b1997502b5c1e21060cc14ee1a4bfb32624f24a","abstract_canon_sha256":"837c0395b7552a1ad7647f782a9f9b0271b64e657aae236c4baa3df192dfbe1c"},"schema_version":"1.0"},"canonical_sha256":"75a5317f63c02c826fe43389af64d369d62b654cbe29757b0012ebee27a07450","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:50.518952Z","signature_b64":"Km9nqL6jgoV03/2hMklP8iFbSEUYV7F84+zGQwWyu0bqo079g0hLDJd3Petboe6Q5UH+N+VnVq2KZqHmmEylBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"75a5317f63c02c826fe43389af64d369d62b654cbe29757b0012ebee27a07450","last_reissued_at":"2026-05-18T01:34:50.518446Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:50.518446Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.07886","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:34:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8I6wASCLV39jc+OfeuBnrz/K63EZXVozGZxPtdm7leCOupKZ/aJLBb5sbIo7cyZwGGjbZkCSHBa3YbsA5zEgAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:55:52.368344Z"},"content_sha256":"397124beff64624056e769ad06212740f238f8a7ee7618edffe6529c10487a2e","schema_version":"1.0","event_id":"sha256:397124beff64624056e769ad06212740f238f8a7ee7618edffe6529c10487a2e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:OWSTC73DYAWIE37EGOE26ZGTNH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-body correlations and natural orbital tomography in ultracold bosonic systems of definite parity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Peter Schmelcher, Sven Kr\\\"onke","submitted_at":"2015-01-30T19:12:48Z","abstract_excerpt":"The relationship between natural orbitals, one-body coherences and two-body correlations is explored for bosonic many-body systems of definite parity with two occupied single-particle states. We show that the strength of local two-body correlations at the parity-symmetry center characterizes the number state distribution and controls the structure of non-local two-body correlations. A recipe for the experimental reconstruction of the natural orbital densities and quantum depletion is derived. These insights into the structure of the many-body wave-function are applied to the predicted quantum-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.07886","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:34:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B+VfQJ+K2HsnnO6PQ5i17bBEa1kFT78ZwaX18kt+wy7aXdm/Hz82Kt5RmRHS4QqIS7bSeR9fOyN2slF1oQ69Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:55:52.368705Z"},"content_sha256":"10d8299e96ff4dd4913bdbaf8c8962cb829135c43d7dca821604c774c882fef8","schema_version":"1.0","event_id":"sha256:10d8299e96ff4dd4913bdbaf8c8962cb829135c43d7dca821604c774c882fef8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OWSTC73DYAWIE37EGOE26ZGTNH/bundle.json","state_url":"https://pith.science/pith/OWSTC73DYAWIE37EGOE26ZGTNH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OWSTC73DYAWIE37EGOE26ZGTNH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T02:55:52Z","links":{"resolver":"https://pith.science/pith/OWSTC73DYAWIE37EGOE26ZGTNH","bundle":"https://pith.science/pith/OWSTC73DYAWIE37EGOE26ZGTNH/bundle.json","state":"https://pith.science/pith/OWSTC73DYAWIE37EGOE26ZGTNH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OWSTC73DYAWIE37EGOE26ZGTNH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OWSTC73DYAWIE37EGOE26ZGTNH","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"837c0395b7552a1ad7647f782a9f9b0271b64e657aae236c4baa3df192dfbe1c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-01-30T19:12:48Z","title_canon_sha256":"0f0f4b92325aa13d2a5bbf756b1997502b5c1e21060cc14ee1a4bfb32624f24a"},"schema_version":"1.0","source":{"id":"1501.07886","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.07886","created_at":"2026-05-18T01:34:50Z"},{"alias_kind":"arxiv_version","alias_value":"1501.07886v2","created_at":"2026-05-18T01:34:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.07886","created_at":"2026-05-18T01:34:50Z"},{"alias_kind":"pith_short_12","alias_value":"OWSTC73DYAWI","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OWSTC73DYAWIE37E","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OWSTC73D","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:10d8299e96ff4dd4913bdbaf8c8962cb829135c43d7dca821604c774c882fef8","target":"graph","created_at":"2026-05-18T01:34:50Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The relationship between natural orbitals, one-body coherences and two-body correlations is explored for bosonic many-body systems of definite parity with two occupied single-particle states. We show that the strength of local two-body correlations at the parity-symmetry center characterizes the number state distribution and controls the structure of non-local two-body correlations. A recipe for the experimental reconstruction of the natural orbital densities and quantum depletion is derived. These insights into the structure of the many-body wave-function are applied to the predicted quantum-","authors_text":"Peter Schmelcher, Sven Kr\\\"onke","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-01-30T19:12:48Z","title":"Two-body correlations and natural orbital tomography in ultracold bosonic systems of definite parity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.07886","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:397124beff64624056e769ad06212740f238f8a7ee7618edffe6529c10487a2e","target":"record","created_at":"2026-05-18T01:34:50Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"837c0395b7552a1ad7647f782a9f9b0271b64e657aae236c4baa3df192dfbe1c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-01-30T19:12:48Z","title_canon_sha256":"0f0f4b92325aa13d2a5bbf756b1997502b5c1e21060cc14ee1a4bfb32624f24a"},"schema_version":"1.0","source":{"id":"1501.07886","kind":"arxiv","version":2}},"canonical_sha256":"75a5317f63c02c826fe43389af64d369d62b654cbe29757b0012ebee27a07450","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75a5317f63c02c826fe43389af64d369d62b654cbe29757b0012ebee27a07450","first_computed_at":"2026-05-18T01:34:50.518446Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:50.518446Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Km9nqL6jgoV03/2hMklP8iFbSEUYV7F84+zGQwWyu0bqo079g0hLDJd3Petboe6Q5UH+N+VnVq2KZqHmmEylBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:50.518952Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.07886","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:397124beff64624056e769ad06212740f238f8a7ee7618edffe6529c10487a2e","sha256:10d8299e96ff4dd4913bdbaf8c8962cb829135c43d7dca821604c774c882fef8"],"state_sha256":"741c573f0a4faf050634396b0820b4269ddf188657ad0338f7490bdbcb05da19"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3rma4jYpyOMHdsqTaFeLX3EXHeU8VjAnslRr0IdmZSjokC6gPs6OaS7TwoiIsIn2aAyppmPrTiy+kuId+0rhBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T02:55:52.370781Z","bundle_sha256":"2a623d588eeb9ef361708625840677efae2b261e8949571b5e4a15e125ebebe8"}}